Answer:
A. 11
Step-by-step explanation:
Since the angles are vertical angles (share a vertex) they are equal in measure.
160 = 10x + 50
subtract 50 from both sides
110 = 10x
divide both sides by 10
x = 11
Answer:
, or 10/3
Step-by-step explanation:
4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = 
ANSWER

EXPLANATION
The room represents a rectangular prism or a cuboid.
The dimensions of the room are 30 feet by 16 feet by 8 feet(height).
The volume of a rectangular prism is

Substitute the given values

Simplify:

Hence the cubic feet of air in the room is 3,840ft³.
First, since the building is 5.5 inches and the scale is 1 inch for 8 feet, you would multiply 5.5* 8 to get 44 feet.
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So

Probability a unit is defective and from manufacturer A:
2% of 43%. So

What is the probability that it came from manufacturer A?

0.5015 = 50.15% probability that it came from manufacturer A.